Daily Practice

Higher Plus

13th August 1980

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 3. How many values in total?
2
Bounds3 marks
A rectangle is 16 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 7 in terms of an integer n?
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 108. Work out the positive value of x when y = 27.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.

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